Melvyn Bragg and guests discuss the treaties France entered into with the United States of America in 1778, to give open support to the USA in its revolutionary war against Britain and to promote French trade across the Atlantic. This alliance had profound consequences for all three. The French navy, in particular, played a decisive role in the Americans’ victory in their revolution, but the great cost of supporting this overseas war fell on French taxpayers, highlighting the need for reforms which in turn led to the French Revolution. Then, when France looked to its American ally for support in the new French revolutionary wars with Britain, Americans had to choose where their longer term interests lay, and they turned back from the France that had supported them to the Britain they had just been fighting, and France and the USA fell into undeclared war at sea.The image above is a detail of Bataille de Yorktown by Auguste Couder, with Rochambeau commanding the French expeditionary force in 1781With Frank Cogliano Professor of American History at the University of EdinburghKathleen Burk Professor Emerita of Modern and Contemporary History at University College LondonAndMichael Rapport Reader in Modern European History at the University of GlasgowProducer: Simon Tillotson

Melvyn Bragg and guests discuss Laplace (1749-1827) who was a giant in the world of mathematics both before and after the French Revolution. He addressed one of the great questions of his age, raised but side-stepped by Newton: was the Solar System stable, or would the planets crash into the Sun, as it appeared Jupiter might, or even spin away like Saturn threatened to do? He advanced ideas on probability, long the preserve of card players, and expanded them out across science; he hypothesised why the planets rotate in the same direction; and he asked if the Universe was deterministic, so that if you knew everything about all the particles then you could predict the future. He also devised the metric system and reputedly came up with the name 'metre'. WithMarcus du Sautoy Simonyi Professor for the Public Understanding of Science and Professor of Mathematics at the University of OxfordTimothy Gowers Professor of Mathematics at the College de FranceAndColva Roney-Dougal Professor of Pure Mathematics at the University of St AndrewsProducer: Simon Tillotson

Delving into the Russo-Japanese War of 1904-1905, the podcast explores Japan's surprise attack on the Russian fleet, rapid military modernization, and Samurai traditions. It also discusses Russia's territorial ambitions in the Far East, the impacts of the war on identity and nationalism, and the legacy of the conflict including the Treaty of Portsmouth and post-war commemoration.

Melvyn Bragg and guests discuss one of the most influential economists from the age of Adam Smith and Thomas Malthus. Ricardo (1772 -1823) reputedly made his fortune at the Battle of Waterloo, and he made his lasting impact with his ideas on free trade. At a time when nations preferred to be self-sufficient, to produce all their own food and manufacture their own goods, and to find markets for export rather than import, Ricardo argued for free trade even with rivals for the benefit of all. He contended that existing economic policy unduly favoured landlords above all others and needed to change, and that nations would be less likely to go to war with their trading partners if they were more reliant on each other. For the last two hundred years, Ricardo’s Theory of Comparative Advantage in support of free trade has been developed and reinterpreted by generations of economists across the political spectrum.WithMatthew Watson Professor of Political Economy at the University of WarwickHelen Paul Lecturer in Economics and Economic History at the University of SouthamptonAndRichard Whatmore Professor of Modern History at the University of St Andrews and Co-Director of the St Andrews Institute of Intellectual HistoryProducer: Simon Tillotson

Melvyn Bragg and guests discuss the man who, according to Machiavelli, was the last of the Five Good Emperors. Marcus Aurelius, 121 to 180 AD, has long been known as a model of the philosopher king, a Stoic who, while on military campaigns, compiled ideas on how best to live his life, and how best to rule. These ideas became known as his Meditations, and they have been treasured by many as an insight into the mind of a Roman emperor, and an example of how to avoid the corruption of power in turbulent times.The image above shows part of a bronze equestrian statue of Marcus Aurelius.With Simon Goldhill Professor of Greek Literature and Culture and Fellow of King’s College, CambridgeAngie Hobbs Professor of the Public Understanding of Philosophy at the University of SheffieldAndCatharine Edwards Professor of Classics and Ancient History at Birkbeck, University of LondonProducer: Simon Tillotson

Melvyn Bragg and guests discuss the plague that broke out in Constantinople 541AD, in the reign of Emperor Justinian. According to the historian Procopius, writing in Byzantium at the time, this was a plague by which the whole human race came near to being destroyed, embracing the whole world, and blighting the lives of all mankind. The bacterium behind the Black Death has since been found on human remains from that time, and the symptoms described were the same, and evidence of this plague has since been traced around the Mediterranean and from Syria to Britain and Ireland. The question of how devastating it truly was, though, is yet to be resolved.With John Haldon Professor of Byzantine History and Hellenic Studies Emeritus at Princeton UniversityRebecca Flemming Senior Lecturer in Classics at the University of CambridgeAndGreg Woolf Director of the Institute of Classical Studies, University of LondonProducer: Simon Tillotson

Melvyn Bragg and guests discuss Chairman Mao and the revolt he led within his own party from 1966, setting communists against each other, to renew the revolution that he feared had become too bourgeois and to remove his enemies and rivals. Universities closed and the students formed Red Guard factions to attack the 'four olds' - old ideas, culture, habits and customs - and they also turned on each other, with mass violence on the streets and hundreds of thousands of deaths. Over a billion copies of Chairman Mao’s Little Red Book were printed to support his cult of personality, before Mao himself died in 1976 and the revolution came to an end.The image above is of Red Guards, holding The Little Red Book, cheering Mao during a meeting to celebrate the Great Proletarian Cultural Revolution at Tiananmen Square, Beijing, August 1966 WithRana Mitter Professor of the History and Politics of Modern China and Fellow of St Cross College, University of OxfordSun Peidong Visiting Professor at the Center for International Studies at Sciences Po, ParisAndJulia Lovell Professor in Modern Chinese History and Literature at Birkbeck, University of LondonProduced by Simon Tillotson and Julia Johnson

Melvyn Bragg and guests discuss the notorious events off Jamaica in 1781 and their background. The British slave ship Zong, having sailed across the Atlantic towards Jamaica, threw 132 enslaved Africans from its human cargo into the sea to drown. Even for a slave ship, the Zong was overcrowded; those murdered were worth more to the ship dead than alive. The crew said there was not enough drinking water to go round and they had no choice, which meant they could claim for the deaths on insurance. The main reason we know of this atrocity now is that the owners took their claim to court in London, and the insurers were at first told to pay up as if the dead slaves were any other lost goods, not people. Abolitionists in Britain were scandalised: if courts treated mass murder in the slave trade as just another business transaction and not a moral wrong, the souls of the nation would be damned. But nobody was ever prosecuted.The image above is of sailors throwing slaves overboard, from Torrey's 'American Slave Trade', 1822WithVincent Brown Charles Warren Professor of American History and Professor of African and African American Studies at Harvard UniversityBronwen Everill Class of 1973 Lecturer in History and Fellow at Gonville & Caius College, University of CambridgeAnd Jake Subryan Richards Assistant Professor of History at the London School of EconomicsStudio production: Hannah Sander Producer: Simon Tillotson

Melvyn Bragg and guests discuss Maria Theresa (1717-1780) who inherited the Austrian throne in 1740 at the age of 23. Her neighbours circled like wolves and, within two months, Frederick the Great had seized one of her most prized lands, Silesia, exploiting her vulnerability. Yet over the next forty years through political reforms, alliances and marriages, she built Austria up into a formidable power, and she would do whatever it took to save the souls of her Catholic subjects, with a rigidity and intolerance that Joseph II, her son and heir, could not wait to challenge. WithCatriona Seth Marshal Foch Professor of French Literature at the University of OxfordMartyn Rady Professor of Central European History at University College LondonAndThomas Biskup Lecturer in Early Modern History at the University of HullProducer: Simon Tillotson

Melvyn Bragg and guests discuss ideas about the Stone Age people who created the extraordinary images found in caves around the world, from hand outlines to abstract symbols to the multicoloured paintings of prey animals at Chauvet and, as shown above, at Lascaux. In the 19th Century, it was assumed that only humans could have made these, as Neanderthals would have lacked the skills or imagination, but new tests suggest otherwise. How were the images created, were they meant to be for private viewing or public spaces, and what might their purposes have been? And, if Neanderthals were capable of creative work, in what ways were they different from humans? What might it have been like to experience the paintings, so far from natural light? With Alistair Pike Professor of Archaeological Sciences at the University of SouthamptonChantal Conneller Senior Lecturer in Early Pre-History at Newcastle UniversityAndPaul Pettitt Professor of Palaeolithic Archaeology at Durham UniversityProducer: Simon Tillotson